Stochastic homogenisation of free-discontinuity problems

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dc.contributor.areaMathematicsen_US
dc.contributor.authorCagnetti, Filippo
dc.contributor.authorDal Maso, Gianni
dc.contributor.authorScardia, Lucia
dc.contributor.authorZeppieri, Caterina Ida
dc.date.accessioned2018-03-19T09:16:27Z
dc.date.available2018-03-19T09:16:27Z
dc.date.issued2018-03
dc.description.abstractIn this paper we study the stochastic homogenisation of free-discontinuity functionals. Assuming stationarity for the random volume and surface integrands, we prove the existence of a homogenised random free-discontinuity functional, which is deterministic in the ergodic case. Moreover, by establishing a connection between the deterministic convergence of the functionals at any fixed realisation and the pointwise Subadditive Ergodic Theorem by Akcoglou and Krengel, we characterise the limit volume and surface integrands in terms of asymptotic cell formulas.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35309
dc.language.isoenen_US
dc.miur.area1en_US
dc.relation.firstpage1en_US
dc.relation.ispartofseriesSISSA;05/2018/MATE
dc.relation.lastpage23en_US
dc.subjectSubadditive Ergodic Theoremen_US
dc.subjectstochastic homogenisationen_US
dc.subjectfree-discontinuity problemsen_US
dc.subjectGamma-convergence.en_US
dc.subject.miurMAT/05en_US
dc.titleStochastic homogenisation of free-discontinuity problemsen_US
dc.typePreprinten_US
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